Dynamical reshaping station-keeping approach for near rectilinear halo orbits using solar radiation pressure

Near Rectilinear Halo Orbits (NRHOs), a subset of the Earth-Moon L1 and L2 halo orbit families with stable or nearly stable properties, are recognized as strong candidates for the Gateway mission. However, because of non-modeled perturbations and orbit determination (OD) errors, an effective station-keeping strategy is required for long-term maintenance in this dynamically sensitive region. This paper investigates solar radiation pressure (SRP) assisted station keeping of NRHOs, and it is based on the dynamical reshaping method in a coherent Sun-Earth-Moon Quasi-Bicircular Problem (QBCP). Although the control acceleration provided by the SRP is small it is unlimited, therefore, the SRP acceleration is a good option for long-term station-keeping missions. The idea behind the proposed method is to reshape the dynamical structure about the nominal orbit and to cancel the unstable Floquet modes using the SRP acceleration. In particular, the two sail orientation angles, i.e. the pitch angle and the yaw angle, are taken as control variables. Moreover, the Jet Transport technique is used in the implementation of the procedure to derive the control law explicitly as high-order Taylor polynomials in terms of the deviation between the state of spacecraft and an associated nominal point. In the numerical simulations, a Sun-resonant NRHO is considered as the nominal orbit due to its favorable eclipse properties. The aim of this paper is to show the stability and robustness to OD errors of the proposed approaches, as well as the feasibility of using the SRP for station keeping of NRHOs.